The link between the kernel method and the method of adjoints for the generalized index 2 F 1 -transform

Benito J. González; Emilio R. Negrin

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 691-694
  • ISSN: 0010-2628

Abstract

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In this note we show that the two definitions of generalized index 2 F 1 -transform given in the previous works [1] and [2] agree for distributions of compact support.

How to cite

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González, Benito J., and Negrin, Emilio R.. "The link between the kernel method and the method of adjoints for the generalized index $_2F_1$-transform." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 691-694. <http://eudml.org/doc/247885>.

@article{González1996,
abstract = {In this note we show that the two definitions of generalized index $\{ \}_\{2\}F_\{1\}$-transform given in the previous works [1] and [2] agree for distributions of compact support.},
author = {González, Benito J., Negrin, Emilio R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {index transform; hypergeometric function; distributions of compact support; index transform; hypergeometric function; distribution of compact support},
language = {eng},
number = {4},
pages = {691-694},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The link between the kernel method and the method of adjoints for the generalized index $_2F_1$-transform},
url = {http://eudml.org/doc/247885},
volume = {37},
year = {1996},
}

TY - JOUR
AU - González, Benito J.
AU - Negrin, Emilio R.
TI - The link between the kernel method and the method of adjoints for the generalized index $_2F_1$-transform
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 691
EP - 694
AB - In this note we show that the two definitions of generalized index ${ }_{2}F_{1}$-transform given in the previous works [1] and [2] agree for distributions of compact support.
LA - eng
KW - index transform; hypergeometric function; distributions of compact support; index transform; hypergeometric function; distribution of compact support
UR - http://eudml.org/doc/247885
ER -

References

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  1. Hayek N., González B.J., The index 2 F 1 -transform of generalized functions, Comment. Math. Univ. Carolinae 34.4 (1993), 657-671. (1993) MR1263795
  2. Hayek N., González B.J., On the distributional index 2 F 1 -transform, Math. Nachr. 165 (1994), 15-24. (1994) MR1261360
  3. Lisena B., On the Generalized Kontorovich-Lebedev Transform, Rend. Math. Appl. (7) 9 (1989), 87-101. (1989) Zbl0733.46019MR1044519
  4. Prudnikov A.P., Brychkov Y.A., Marichev O.I., Integrals and Series, vol. 3, Gordon and Breach Science Publishers, New York, 1990. Zbl1103.33300MR1054647
  5. Treves F., Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967. Zbl1111.46001MR0225131

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